SANKHYA RESHA - MARATHI - MATHS

5TFT W* ^IcWld 3Tl?fciT RcT ^\i\. hRwMI ST^

Rn cr ^rRw?fr ^fm ctr^t sttwtt ^im ^tft ri^r?t 3rR.

f$\m RR^rRtef R dRTRR 3^H RRR? M
HldoSlc|^d^v3M?bH dlddld.

►► feRT^R : n ^iioikHicSl RicbRnd ^en >{4 <=i^T|ui Rs#ra>
yJTcmi fcfcfjpfT ^WfT 3T1%. RT RWTTcT HT^TFT PlsTH,
^Tf^RT, ^TTeT ^T PmTW fn^RRRT RTT ftwR
^Rp^cft, cbl^le^l, ReTRWdT 3 TTRt WTRFT *R

SRlcfr. W[4t %a^RT 31WIRJcT rRRt 3lR RRfRT RdR
RTcTTcT. k^lldl MRxHNjIcTlcd RTRTW 3

mwS\ Rddl RTdt

►► ftracfj : rr}?R> rt^tt rri^r

%ST^RTT^fcRTH, RpRT, ^TteT, W%:RTR W
#TSRT ^R RrM ^cTTcT. RRR WRR4 ^Pd^l *[RR
RRaRTd^ M ^PoRi c|j|kniR #mR^ u ^id ^idid.

►► cf (*nR f§TflcF>) Hf^TST 0 ! :

WrfcTRRRTTcT fcRTFT, RRd ^ f^wR cRcRlR cR
Rt.RS. ^iPldlddld PfwR cRcRR 3RWT
Pdeil vdldld.

►► gefRTT^f : pTflRT cf fcfw^ ^PrR, WTTeRlRR cf

3TRdR-d4d RlPR, mRc|RI fRPR.

snarfifcb jrrfijm
3ilcbcH^chtVI<r4 mRicbl

'WisirRtn

( f%T? •H^.d ^ ^liUlfcb )

•hiR*i m«j

«fddl 3TT^

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-3 o_L -2 1 J _ -1 JL 0 J _ 1 -_L 2 J _ 3
2 2 2 2 1 2 ^ 2

4 . 4-1 i3_ iL iL 0 ill 1 jj

2 4 424 424 4 2

-1.5 -1.25 -1-0.75-0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5

3i&!|±H VIchlVH

wrf^rr

^iRcbi

3TT^

31WH - ychl^H

5 ^

►► *iw^l (f%F^fKT 3TTf&T 3P£nfo)

*nfei Tm

’^rfclciT 3TT^

►► g^Tcftef ^ TR^ cr M# ?pf teisft cr

%5TR^3TT%?T.

5cR 'M'v’HId cTFR WTR 3RTe*TRT cdM^d

3TWR ^4en cbo6c||^ ff fcpl^r.

►► WM : >}l4lc|c|^ch

3T&t|4M Jjcfri^M

12-31) 4)^^,

^CMK WPT, ^jeff - 400 088.

^ e-mail: adhyayane@gmail.com

►► iprcu : tofR ter

►► fcfrRcf: ^.40/-

» ychl^H: dl^R 2012

►► WRW ^T %dT kk

nHI^I^I ^3TT%.

►► ^?Tdk kdfTT^T, *TPK'?fa 3Tlkl ^R W 3T£^H
wn%3#n k^fT^nspfrwte j iei^3rmrft3rk.

H^TRFTT

£H 3TTf^T dt u l R 'dddMI Rldld 3||R| dRldl^ll dddld
3lRl^m dEkdl^l d^edl3Tlkr. T fRTdTcftd *5m 9T§#R (^. 5 cfr cr

8 cf|) $dxlid f^PFRTT dPd cTFRlfcr^t STRePf IfTTcdM

tTM|h<*> J lRldldl 3TPk iHobfcldl kff. f^P^lk dM STTcFtcPT,

fd^NVld fsRT, cdidl dVd dTR dix«q|^|cj|^ J |Rldl^ 3||0e1d

3PJ°f^Tkf. 3^4> RldlSdldk Rl^idi ■’ffaaS 3||cio6dl. 'd'isdRqi
3TTfk ddW ^ddlcild WRTFT f^'Nn 3T^ d

^TTm WR cf^fj <*”<|c|| % R dR-d<^d dl'yRlel 3fk. %

-H Md lei 1 dTdelcl ^d^dlR^^EPTSTk. 3HHd) 'd^ddl ^dd

<bd! 0), '(-i'isdR^^d dcdl J l)kl ^ *)v* elMIdld. ^3H 1 H el

dRlci) 3Hct?cH cTTS dMIcl. 'd'isdRdl TJcfj WH ^ob dddl.

‘^Rsm^TT - fd^'flcbd 3TTf^T SPJ&rfcjr R ^R-d^d kp|?

'dcbdlsKWd 3H'^ u |jc^, 3-|^ u |'Rldl ejy) vr|, 3^ u llc|ddl cju1|<sj|c^ j

cdidl J J u l|cbK, dldlcbK^ dRcidl 3T!%.

'd'isdl'kdl cilH^ ITT kd? y.i d)?d KH 1 cj) <Mdl kfl d^d

3T'J p fRb dd^ledMd^ k 3T t jy r rNb' STtRt edld^lel dRbdl

dl^slRldl ^ d Id . ^2) ^RsdTkT 3T'jyrNpRTT ^TReFTTdT dR 3INH
^cT.

dxd 9TdRld> $ddid dT ^Rd^bdld dRbdidl SfNedT

SRTFH dRlkd cfPR cbedKH RlRddd ^blddl bldl. R dRb^c^

R£dfH0 dRldk ST^ddd c|dl*) 6) u dld Hdd 6k.
3^^cnWd3TNcfT3^)Tcf^^ d^TM.

- $f. ^4 1 vrp|c| cf^cfj

tefa tecf M 201 2 W ftftei-l T rP r RT 3 TRk^R c[

wjte HifcMd # HTsrte ^ ^r 3Tte47
^teef tetT fteftePTT ftetete jdcblf^ld

Tlte SITcPeH ^ Vd^pflviR TITfcl chcTl d :

1.

2. tete - fteH%cT cr 3qjte

3. ^Tte^T- cfiJchdel

Hlfcichcilcl 3TFTFft ycj>m^j

1. 3H^u|]c^ : J^uiichK - ^HMIIchK

3. ?m^nfr

4.

Wn^raTT WTSJFl cMMIcfl cf ^kT

1 ) wpt 3 gte> te. 3rnte 4 fter toft, ^Bte wnte srrar
Rj^cTl H'i-cl ch $)leil ?

3 + 4 = ?

dBi-tedmq ite ch^i.

' -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7~^

f^RFTl : ER ^q^ tete Tg^ST^Ie^iqqHIHKjH v3u|<ftcb^ q|u|.

arm 3 ^q efj^n.

+ ♦ ♦ ♦ ♦ ♦ ♦ 0 ♦ ♦ ♦ .— »

-3 -2 -1 0 1 2 3 4 5 6 7

(3 + 4)^ u i^4q^ \dq4l0^ qicj.

..">■.. ..">•.. ..">... ..->•..

+ — . — . — . — . — . — . — ($ ' < "i — Y t >

-3 -2 -1 0 1 2 3 4 5 6 7

*tei 3Trqq 7 cr qlteert.

.-. 3 + 4 = 7

wrte 3 te sm^ii 4 Iter teft. wrte
stm 7 teit

aqq^t i^fjq^TB^q m^ii.

2) qote2te3te. te^f^3Tiq^3tete3Ti?]Tqqtefte

teteq?

2 + 3 = ?

3rm 2 cR^sfq q^rqT.

+ 1 — i — i — i — @ — i — i — i — i +

-2 -1 0 1 2 3 4 5 6

(2 + 3) *ter 3 q^qtetete

...->•... ..->•...

+ * — * — ♦ — ♦ — 0 — i — i — i — * >

-2 -1 0 1 2 3 4 5 6

^te3Tm5q?tete. .-.2 + 3 = 5

1

1) 5-2 = ?

3RTR5of^ u i 4^i|i.

« — . — i — i — i — i — . — . — i — i — i — © — i — >

-3 -2 -1 0 1 2 3 4 5 6

(5 - 2) ^ u l^l 2‘Ef^'SlciW'Si RFf.

« ■ 1 1 1 1 ■ ■ 1 4 4 @ 1 >

-3 -2 -1 0 1 2 3 4 5 6

3T0TR 3 OF

.-.5-2 = 3

2) 6 R. 30%R. tuM 3 R. 3T[^eTT feet. 3M WT^ f^\
Wf R^c) ?

WTRF^ 6 R. 3n%cL 6 OF R[R OFROT.

« 1 1 1 1 ♦ 1 1 1 1 @ ♦ — ^

-2 -1 0 1234567

3 R. 3TT^eO fteT. J^R^f ORTOTO^ ORTcfr cfFTR. 3 ROfORt
RTc r.

< 1 1 1 1 1 1 1 * 1 1 — 0 1 — >

-2 -1 0 1 2 3 4 5 6 7

.-.6-3 = 3

3TRRsff XJcfj viOTfFR FT^RT.
cHIRR^e) ?

TpJFt 8 cTTR?tcT. 8 OF cf)R|cj1 .

< * • * * • 1 1 1 1 1 1 1 0 1 — 4

-2 -1 0123456789

2

t FOf 8 enROTReT. ORTOTO?f OROff efFteT. 8 R^ RO?0 rI

rfJ.

..-<■... ,.••<■•.. ... <-... ... <•.. ... <■••.. ...•<-..

< 1 1 1 1 4 i 1 1 1 i i i 0 1 =►

-2 -1 0123456789

.-. 8-8 = 0

^ efT^F^. FI^I.

4) feFRR>RF ?]]66 t?TI FRFTRT^cftR OF°?T Wcfl. RF1R0 1 0 R. OR
WO efFTeO. FRJ 1%FR0Ft 5 R. W 1 ^ ftRR IMf R.

3TT%. ?

fkwt 5 R. ^T%. TgrojF 5 OF RjR %#.

« — ♦ — ♦ — ♦ — ♦ — ♦ — , — ♦ ♦ ♦ . . — © — ♦

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

RTTeO 1 0 R. FTFRf 3TT%cT. FRRjf (5-10)

ORTOTO?f ORRRTF^ 1 0 R^ ROftOR^ RT^.

_6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

5 R^ ^T#Rt 3TToRTOF f^FRO^tcT 5 R. FTFcT. FR 10 R^ Rite!
^tcR10F-50FFt?tRcft.

'^RFf feRR 5 R. ^ 30#. % RT^RT. T?RFt - 5 R. 3 T[£r.

5) 4-7= ?

4 ORT 7 3F%F. ?R°JF 7 R^ ROffO^RFr.

... <•.. ..-<.. ...... ...-<■.. ... <•.. ...■«... ..-<■..

< ' ' ' * 1 1 1 1 i i $ 1 ' ' — >

-4 -3 -2 -1 0 1 2 3 4 5 6 7

.-.4- 7 = -3

ftFR : ORTOTO?f ORRTRT FtcFO FRFRJR eflRR FRFTI ORT OFRF f^F?
FteOTFF^RT^.

3

6) (-7-4) =

-7 cb^l.

< — i 1 — 0 — i 1 1 1 1 1 1 1 1 »

-8 -7 -6 -5 -4 -3 -2 -1 0 12 3 4

— i — i — i — ^ — , — , — , — ■ — , — , — , — , , — , — >

-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 12 3

(- 7-4 ) = -11

WOTTWT 3RT erSTTcr

1) ER RTT 'd^sditS) el’Sl'Jt dKIcil c[ dxKlell

sRf^Rm.

^T. 8 + 4 = 12

2 + 5 = 7

2) £R cl -5H.u| fr)r£ S-KHe+mi 'Ji I e| I c|?i c^^icpl cf 3iie)e^l viTKIell

HldiJI *i'lsA)^ (xl^ ^JRT.

^T. -5 +2 = -3

-4 + 7 = + 3

1 - 6 = -5

3) cjl^l fa^?k.U|3KHc'iJKH e)^|vH <+RI<51 ^3ile)c-4l vdxl^ldl

■f^p^'sncr.

^T. -2-4 = - 6

-1-2 =-3

• • •

4

i) TTfaWT 3T|cfnft?T W*WQ T ^ 7TR3T 3TT%. epT^t W\

TJ-TJC31W W^taefT 3TI%. ^TrqTtn ^13T ^T^PRRTT^t
W# wM ^TPTT (WR) cilcicidi 3TF#.^t^M|

HldoSldi ^THcl 3TT%. o4M|c|^|d WIT £R 3H%cT cR
^fccJKslloflel Wldt u l3TT%cT.

4i u 4i41 w^^trr +4^R^yi3ii%. WRiwsSl^r

eft +2 3TTc¥t, +4 cT +2 +2 3TT#cT.

W^T3II U I^ ^^HTff^m4'd3TF#.

+ 2>0

3IldlHldo5l3I|U|v!ilct74il^u|0] -1 ^pfcTSTTeft.

0>-1

3fl'dT HldoS) SI|U|^ 4,41 Slleft .3 q\ifa ft eft.

-2 > - 3

-20 -15 -10 -5 0 5 10 15 20 25 30 35 40

■fTPTd^l diwfid m \ d RReT cTTWT 40°C 3T1%. sftw ^F1 eTFRTR
cb4l £)^d30°C3nc1. +5R^30<40+?R^30%40^aTTef?H3TT^.

chwr sm?3\ ^fr gta i o°c 9 % 3T^.
io°c < 40 °c

5

d I M -H H I u I ’isTl cb^Tl

0°C < 1 o°c

TTFFTH 3TRRft cfjift FlRRf - 1 0°C
0°C>-10°C

cTTWd STFRff cfnft - 20°C Wef.

- 1 0°C > - 20°C

dRRd 3R7 efflRT %d ^dldl 7R#5ZTT v3d4W

ws4i *f\£\ ^Ici dki ?r jYc^m *ivsii i ct*r ^ sir) .

3TRRsfl i^c^| tt^cTI^ dd^d t^dl.

* -5 -4 -3 -2 -1 0 1 2 3 4 5 ^

i) -10-2

-1 % -2^ten^3n#?T. ^jrrr -1 wr 1 rtwi. tr

-2^2ftoic||^l cHHIdld. ^u|^xl-l£-2*telPfl&3TI#<T.

ii) -4 □ + 1

-4 *TR£T ^TTcR 4 cHHIdld. cR + 1 ^TRJfT Vj^TRR

d^R7!^ 1 <MI ^RRII dPITll 7R^1^7RsR-4^R^3TI%.

I) dlMRl^ (dlHdH3M#^3RRfcir)MI£d ddefid i=l^dj4l vRI^ fcT^T.

— I 1 1 1 1 1 1 1 1 1 1 1 1 1-

-20 -15 -10 -5 0 5 10 15 20 25 30 35 40 45

1) dlHHH 30°C ^ fceeTl^ 10°C 3TT%. 7R d^Ml dlHHHId
f^cft3M#kT3RRn Wf^3TT% ?

2) HRi||^ RRRT#^ dlHHH 10°C?t%. ail'ddl ^5T^%15°C^^ ^lel cR
; tdTd cTTWdfMt 3#R7 ?

6

3) ‘A’ ^TT xT dNdld -5°C 3TT#. 10°C^RTRl dlHHM ddRlc^ 7R ’A’
dlHdld M ?

4) dlHdl^ Ml u dld^R#3RHdl WR 20°C d^Rlei. RTglO ftft^RRR
%3TRRfr20°C^d4l STTcT. cRdlddH Rb<rTl *)4d ?

||) , , . . . * • . . * • * * — »

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

3T) ^^§Tr2^^7RsqT =
Rl^WTT =

«T) 6^T2^dfHWn =
cp) -5^5rr4^Hicjl wu =
~S) -4^STT2^d?HWfT =

III) 3T41'. < , >4fWt^^!¥.

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 1 ~*

-4 □ 0
4 □ -1
-5 □ -1

2 □ 3

IV) dlcb^ddVddteMI^RI.

<— ♦ ■ ® . ® . ♦ ♦ ♦ @ ♦ 0 ♦ — >

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

• •

7

□ <□<□<□

Wsill^NI 3T#T ^U||d>K

Wn^TT IPIT^ cb'^l <Hdld%*n^.

i) Ple)^ <H r^^jHI 3dc^c^| 3 3TT%f^^. ?Re^ ^u| M3Ti%fccf?

2 x 3 = ?

% 2 ST ’TFT 3 cfoST TR^TI^R ^TW^T.

f w ^ ,. ^

< £ — . — l — . — 4 — « — * — . . >

0 1 2 3 4 5 6 7

.-.2x3 = 6

^1^2#Wn3^1o4| tldeil.
ftcTCl^ 6 3# feet.

ii) T jvjfr% 4 Mhi 3 4^11 f^n. ^ u i RbcTl ^ jt l^c^i ?

4x3= ?

0 2 4 6 8 10 12

^T%4?TWT3 ^OAI tlclell ^ U I^M 12 cR^T^cT.

.-. 4x3 = 12

^JpTFT 12 3UT fcTe^TT.

iii) 6x4 =

... ■>■

< i i ¥ $ t 1 — >

0 5 10 15 20 25

6 % 4 cfcST ^RTeT 20 W 4 24 ^7

.-. 6 x 4 = 24

8

iv) ^#^^FTi%5c^t2^.^rr3TT%. ^T^3x(-2) =

....-<• ...•••<

-7 -6 -5 -4 -3 -2 -'l 0 1 ^

3 x (-2) = -6 3TT%.

v) -5x(-3) =

~ 5 0 5 10 15 20~

-5 % -3 3n#cT.

-5 ^TPteT -3 -5 W fcR^ 3 ^5T 3TT%cT.

..->■... ..->-...

< . i 1 1 h , >.

-5 0 5 10 15 20

. . -5 x -3 = 15

#^n.

-20 -15 -10 -5 0 5 10 15 20

1) 6x3 =

2) -2x2 =

3) 3x4 =

4) -2 x (-3) =

• • •

9

wsiirtMi anfa^HiicbN

i) 20-4 =

3rm20^R^ u i chwi.

< © — >

0 5 10 15 20 25

3TraT20 % ^ t 4 cf 4 ^FT Wi *T fcpcft *TTC ^1eT ?

<-.." <-.... <-....

<■ v .. . v . . . V . .. Y .. . ' s . .. <g) >

0 5 10 15 20 25

3#TkJ<£U| MN WT^TTeT.

20 - 4 = 5

. tfr cfj^t Wit ^eT ?

10-3 =

3 Tm 10 ^R^ u l

< ® — »

0 5 10 15 20

3TRTT10 M4d3*fFT4Wd ’te 3 TRT feptft WT^rdteT ?

< 1 *■ ■ i i ■ i i i i (^> >

0 5 10 15 20

3T& 3 ^TFT ^ITcT cf 1 ^uj ftlecRT Wt.

3WT^^JT,'lTTWR3c[1 ^ u l f$lcd<MI^, 414^1 1 3TT%.
^ 6 U I^I vrqldl 1 fdc£> ^ISlcl.

10

iii) W-28^. 'Old ^ u lid <^uj 3TT%. cR Wttm M^.^i3tT#?

- 28 - 7 = ?

3 Tm 284 Y^u| cb^iii.

< ■ ■ ©

-30 -25 -20 -15 -10 -5 0

^|cK$ u <JMIc?I 7^M ^®T TTFt ^1^1 efFlef ?

< ■ . 0 Y Y Y >

-30 -25 -20 -15 -10 -5 0

4 c|o6| HMt 4ld efFlef. -28 - 7 = -4
Lj^cbKH- 4 ^.t u i 3 TTt.

fa*rc-

1 ) WR 443 RMT.

2 ) JjU||chK/^HM||cJjK- 3 |tU| 3 Rrat.

3) cfR 'ftwen / WR epT 3RTcfT.

Tfl^rr.

*20 ’ ' ' -iV ' ' '-10 ' ' '-5 ' ' ' ' 0 ' ' ' ' 5 ' ' ' '10' ' ' ' 15 ' ' ' '20

1) -20 - 4 =

2) 10 -3 =

3) 25 -5 =

4) 18 -5 =

• • •

11

^RsHT^T ^ STjqfcfj

5

1) — BT WTRW Fl^TFL

< i 1 1 1 1 1 1 >

0 1

FT3iy u lfcbM|3m53n#. ^ng&7^lM5WT3\3^T.

< ' * * ' ' — 0 — * * »

0 5_ 1

7

3twf^ y^Tspjyffe wtt^tc cii-isiftdl.

3

2) wn^cR g^cii.

3

y FT ST^lfcPM ^F 5 3T1%. W^\ 0 % 1 FFT^ 5 FTF F7FFT.

< 1 1 1 1 * 1 *

0 1

ft apjjjjfajM 3^T 3 3#. 5 wt4 3 fpt ^fftt.

« ♦ ♦ ♦ 0 ♦ ♦ »

0 _! 1
5
3

3MOT^ y FT3y u ll4? WH^cr c^Rid).

3) FI^4I.

y ft sryifeM ifc 3 3tt%. ^yr o cr 1 ftwt 3 ftf ftfft.

FTF y 3TI%. 3RT 4 3TT%. TFTga$ ^FFNjF ^FT FTFFR
yFFTFFT.

<■

± 2 . 2
3 3

->

12

< . — . — . —©■

0 ± 2 . 1 ±
3 3 3

A y^Fy Fy^FTF.

2

■»

4) y ?T^yu||ct, F*3 F|^cK Fl'TsMI.

g

y FT3ryjiten^43n%.

.-. 0%if^4fftftff[.

« 1 1 ! 1 1 ! 1 . t >

0 1 2

FT 3iyFTFFFI 3TFf 9 3TT%. FTI'§a6 ^FPTFFJl 9 oETT FFT1FF FFFI.

< 1 1 1 1 1 1 1 1 H-0-H =»

0_L_2__3_ 1 J_ _2_ _3_ 2 _L

4 4 4 4 4 4 4

9 1

j 2 y>f Fy FyjfFTF

• • •

13

i) wn^nfter fotfr *rrc srrl ?

o 1

0 ct 1 wr 7 ITFT 3TT^T *fFT y 3TT%.

0 ± 2. J- A JL JL 1

7 7 7 7 7 7

^ y TTcTST WT ^TfteTT 3TI%.

*TT7^Mlfle|S) cb|u|^2'HFIt)^^l45d'l.

>

■>

2) ^l^c|^|ei RbcTl 1TPT ^ J I Rl el cH 1 3TT% ?

t W//////M t t t _

0 1 1 2
0 % 1 ^FT^T 3 W] 3TT%^T ~ 3TT% .

1

0 -1 A

3 3

i^TWT^ferefTSn#.

!WTt|vi)!ilcbdl.

■»

>

W//MM

o 1

A

0^ 1 5 3TI%^ ■JTFT y3TT#. 3F& 2 W] T ' J Tft cl

2 ^

14

i) ^te41^c|^el MWT^lRlelell3TT%%fcrFT.

<■

mmm . ^

0 1

73tR

vTcR

■»

ii) >j<£)d

<■

,J L, J_\

2 4 1/

vJxN

>

1

iii)

7|' U TI cfjfq ?n ST^ltcfj q^Tl^RTkl ?

« . — @ • ©■

0 A B

A =

B =

C =

C 1

■»

ite ^pth 3TWFn ^^uifchi^j t^tur-cTuiT4rcft

i)

1 + 1 =
5 5

0 A A

5 5

A 1

5

0 ^ 1 wr 5 'Wl SntcT.y W 1 ^ T?ef> ’TFT «(T.

«■

■>

0 A 2. 2. A 1

5 5 5 5

■J WT ftoFraT 3TT% ^ RRtet viTT^. 5 qFTftcfr

3TTFW J lRlel.

2

5

J3

5

2 ).

«■

»

0 ± 2 . 1 AAA

3 3 3 3 3

O

y^M 2*rFK J Tft el. 3Hldl cdld3TTFlfac6c|l M yRR^ei ?
tkvHdH3KHdHI ’RW3RTM fcMN ^belMIdl

0 A A

3 3

1 A A

3 3

2

3 vm ftc6c||ii^ 3TT%cT. 3 ^ v3vd41cb^ RT^. WIFR

^mefr.

1 + 1

3 3

_5

3

16

3) _3

4

_1

4

^R^l cb-ddl.

« . . . @ . * * * »

0 ± A A 1

4 4 4

^TFT 3RRTHT 3RTMT %RT WT. ~7 ^RTT ^RRRf

O ^

31l£d 1 ^Rc^4T. ^l^STmy^Hl^del'l.

< 1 < ¥ 4 1 . 1 , >

0 A A A 1

4 4 4

1

4

1

4

2

4

4) l_l =

4 4

1

y cR x^ju| cf^fj.

< ♦ ♦ ♦ ♦ . ® . ♦ . >

i i 0 1 11 i

4444 4444

O

^ ^PTH 3RRTHT 3R1RTT f^RTR ^efT RTcff. y ^RTT R^RRf
3Hl^d

.•<■■•. .•<■-. ..-<■•.

< 1 1 1 1 + 0 H

-3-2-1 0 _1_ 2
4 4 4 4 4

■»

17

5) _5 _ _8 .

6 6

< ♦ ♦ ♦ ■ ♦ ♦ ■ ♦ 0 — 1 ♦ ♦ >

■1110 .1 2_ 3_ j! iL 1 !_ 8_

6 6 6 6 6 6 6 6 6 6

-jr cRncfRF^3TT^cT. 8 ^ ^pTT.

< ^ ¥ ¥ ¥ ¥ "¥———¥ ¥ © , . . >

-_1 - 2 _ -± 0 ± 2_ 3_ A _5. 1

6 6 6 6 6 6 6 6

. _5__8_ _

'•6 6 6

• • •

18

3TCFTH 3KklH I ^ cMMIcft

1) 1 + 1_

3 2

« . @ * * »

0 ± 1_ 1

3 3

< ' 0 * »

0 J_ 1

2

3^2 WefRTT.ft. 6311%.

6 RPTFT ^TFI

< ■ ■ 0 ■ ■ ■ ■ >

0 ± 2. 1
3 3

< * — * — 1 — 0 — 1 — 1 — 1 >

0 ± 1
2

2 + 3 = 5iTFT'ftWel

1 5_

3 + 2 " 6

2) _3 _2

4 3

< . . . @ — . >

0 ± 2 . _i 1

4 4 4

< * ' © ' >

0 ± 2 _ 1

3 3

4^3 WerRTT.fa. 12311%.

3 ^R3ftet3TT%^.
1

^RsqT%%cR 2 ^RsTfcT^ 3TT%cT.

J_

1

~2 ??^6WTi^3WTtaer.

o

wsqMcK -J < 41 ^ fae) 3n%?r.

2

W 1 T%%^R "3 c}Ks|f^3TT%cT.

19

^TTWITte 12^rfTHiTFI^W.

0® i ■ ■ > 4 Tgte 1 2 Witte 9 WT teef .

0 ± 3_ 1 4

3 4

2

y wte2WTlte 8WTftect

3

4

3

4

TguT^12^Hli t lc^9-8 = 1^FT

J_

12

3)

1 - 1 .

3

1

_2_ 1
3

tetete 1 cl'l'isl'ftell 3TT%.

O

WWR y ^fcTel 3TT%cT.

2

1 -y Ml 3TT%.

y - y W 3yyitw 1 ^ 3 W ef.^TT.ft. 3 311#.
W tente 3 WWT WT

1 3 iTFiiMt 3 W\.

y *tef 3 WTM 2 WT.

® ® >
_2. 1

3

1 -y WWf 3 WTlte 3-2 = 1 WT.

.M_l= 1
3 3

• • •

20

TRsm^TT cf 3Tjaitcf> (TJDJTcfjR)

1)

A x 2

5

y iguiut ifc 5 3RTete 0 # 1 nte 5 ^TT WWITCI n 3RT 3 SRftel
3J^TNR£T RkHI ^cK cjr^lcjl ^tet y 3iyJ]fef#^T.

0 1

-@-

5 5

3 3

y W 31^u||cbletl 2 # fU^ 3TT#. 0 # y ?T WT #1 te

ten. ^irte 6 ^rr tere teft. ten te ynter 5 ^pn site.

cni*j4tk5MR.

"‘"® ■ — * — ■ — * — < — >

0

— x 2
5

_3_ A

5 5

3_

5

x 4

y *?te ifc 3 3 mtet 0 # 1 wte 3 ^pn n 3 i?T 2 sorter

cpPTT ^c|X ^ u l 0X14) ^tey 3PjteteeT.

— @-

J_ A

3 3

y nr a^yifcpTen 4 # ymte 3n#. ?nte 0 #y wt wi 4 te ten.

A 1

3

nnte 8 tern ^pT ter. ten te 3 3TT ^-

M3Mr.

•••4- x 4 = 4-

3 3

21

0 % ( ■ - j ) w RR #T to ton.

<■

>

^tptr^ ^i41c Itofr *tor -3 n to£t to ^wr
2 R]RT 3RRto to 2 ton.

< ♦ — ■ — ♦ — ♦ — ♦ — & '■" ''•' "' • — ♦ — ■ — — >

-4 -3 -2 -jl -1 -± 0

2 2

R

2

4 ) J_ y 1
2 X 3

j

^^totototo 0 T 1

RTRR^toRRRRtoRlto.

0^

0^

—I 1 1 1

>/2 1

1

0 cf ~2 Rf RRRT 3 RR RRR tofTR RR
RR ‘ten. 3M tocRT R TJ RR -J %

1 RRRlto^3RRRRRT.

^Rt 0 % 1 RTWT RNcRTRI 6 RR todld. RR; 6 RRlto RRR

RRtonto. ^ RRton.

22

"3 Wfl^fcRo j_ 1 | RRintoRRsfto.

i , 3

3 RTRRT^ ~ RR RRto 3Tlto. Tgto 4 RR RRR dto ef RR RR

’ton.

1 ® 1 — 1 — 1 1 1

0 J_ _2 1

3 3

rrt toi'Rn to mto rrr toft 4 rr rrri.

1 © i — i — i — i — i — i — i — i — i — i — i

0 J_ _2 1

3 3

Rto 0 % 1 mto 1 2 RR ftoet. RR 1 2 to to 1 RR ton 3TT%.

*tor y^RRton.

6 ) J_ y 4 _

3 x 5

— ^to wnton o j_ i _ 1 RRTRtoRTRR.

„ <1 3 3

9 1

— ^Ulto "3 RFT 2 to sto.

RTtonRRRrSRRRRRT.

i— i— i — i © i — i— i — i ® i i i — i — i — i

° J_ _2 1

3 3

1 19

0^-3 RRRtonRnRRtotoRR’torn 3^3 RRto
RR RRR RT'to 4 RR tocf. *gto RRRT 8 RR tocf. WO^lRIRKf
RcjRT 1 5 RR ton, RTR^ to 1 5 to.

^sZTT^fT cf ^TRT 3T«jU|fc|> cf c| vr| | <s| I d^| )

wtt^cr ^r^tht ^tt^rth

10 cb^ioLiid.

0_LJL_3__4_JLiLI-_8-JL 1

10 10 10 10 10 10 10 10 10

^ % ^rm ^ ferf^rrc ?

0.1

io]T~

- 0

10

_ 10

Tv = l °- 1

00

0.2

10 ) 2

- 0

dt)d _2_ .
10

0.2

20

20

00

3^nycbi^ ^^ii^cix; <^im 3i^rN^H1 +TT^fr wt.

< 1 — i — i — i — i — i — * — • — i — i — i — i —

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

WfT^TT cfFR cfj^T ^TRT - 3F|rr|t?f)t^ cfjtff 3^?lTd ?
1) 0.5 + 0.2 = □

0.5^T^¥rm3H^u|lcb dl^RjUijKHi^ 5 oqr^cK ^u| c|?^|.

-0-

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

(0.5+0. 2) +6 u i^ 2‘Ef^'3viicilcj7^^ncf.

- 0 -

0

0.5 0-7

0 . 5 + 0.2 = 0.7

24

2) 0.6 + 0.5= | |

^i^ci^o.GciivicjRiuijKHi^eHrr^ci^^ui ch^i.

+ ♦ — ♦ — ♦ — ♦ — ♦ — , ® ■ — . — . — . — ♦ — +

0 0.6 1

(0.6 + 0.5)'^ts|'ri^l <4^ui|M|<j| 5^vivricilc)7^ W^TT.

..->•.. .......

< 1 1 1 1 1 1 0 * ¥ ¥ ¥ 4

0 0.6 1

3TFM 1 wg&Mfec*JI ^cK 1.1 ^31NU| xrt^fefr.

0 . 6 + 0.5 . 1.1

3) 1 .2-0.6= | |

WTT^cR 1 .2 1 W^leT 2

0 ■ >

0 1 2

(1.2-0.6) 5ltcMMlc£l

< — I — I — I — I — I — I — i ilii r i — I — I — I — I — I — I — I — I — I — >

0 1 2

0.6 cR 31IHU| Hte'Hdl.

1 . 2 - 0.6 = 0.6

4) 0.4 -0.8= | |

< ♦ — ♦ — ♦ — , — ♦ — ♦ — ♦ — ♦ — I © — 1 — ♦ — +

-0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4

3TRTT0.8c|u1|cbV|i|xl 3TT%cT. cMI 4WUi|KHIc!s1 8 ^ ^4^ ^cf^T.

... <... ...-<... ..-<•... ..<•..

< 1 — $ — + — i — f — i — + — i — i — 0 — i — i —

-0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4

(-0.4)^3imu| H)s4Hdl.

0 . 4 - 0.8 = - 0.4

25

1 - 0.2 = | |

WTT^rel cb ^ l .

+ . . 1 * 1 1 —

0

(1 - 0 . 2 )^ T ^ 2 ^^ Tte ^^.

- 0 -

-4 + +■

0 0.8 1
^ NK ^ 8 ^ W ^ 0 . 8 ^ N U|

1 - 0.2 = 0.8

6) 0.25 + 0.5 = □

Wll^k 0.25 ^ 0.5 ^T^TT.

<— ( © © —

o " tj’is - 0.5 °- 75

0.25 4 WTR ’TFTM 1 +TFT

0.50 vcfrsn 4 ^rh '+:fitMi 2 ttfi

4-£U|0) kJc^ui 3 3TT%cT.

31ldl ^j^HHK^d 3 WFT HMldell ^dld cjrddl.

0 0.25 0.5

^ J T ^ 3 TT c m 0 . 75 ^ RH ' l ^ del ' l .

.-. 0.25 + 0.5 =

0.75

■»

■»

26

7) 0.20 + 0.8 = □

wn % 0.20 0.8

© ♦ ♦ 0 ♦

0 0.20 0.8 1

0.20 ^ u l^d 0.2, Hid 'tWH 1 ’TFT.

0.8^ U I^H MN>HdH^Mii^45l4wi.

^ u|^j kJ^ui 5 , J ; rr r T 3 n % cT .

3ddl 5 WTH^Idell 'd.'bdld cb^dl.

0 0.2 0.8 1

30^7 1 qYg^ctl .

.-. 0.20 + 0 . 8 = 1

+ « t ■ 1 1 1 i t 1 1 t >

0 0.1 0.3 0.5 0.7 0.9 1

1) 0.15 + 0.40 =

2) 0.75 + 0.1 =

3) 1-0.3 =

4) 0.5 -0.9 =

5) 0.45-1 =

27

'dK'^N 3]d^|cK 3RMRTT 3 ^TTcR ^4T WT^TC ^IST. ^TRTT^f

^#dfe[WcR^T3Tf^R dH^Jd 3TT%cT.

c 0

1

2

3

4

5

6

7

8

9

10

11

12

13

, 0

< 0

2

4

6

8

10

12

14

16

18

20

22

24

26

1

2

3

4

5

6

7

8

9

10

11

12

13

^T A , ^TT B c [ ^T C ^TT #4 ^TTcR ^T 3 TT % cT . ^T A ^ ^T C cR W^TT
3^RT^R £FT ^ltef> ^Tef 3TT%cT. ^TR^t 3TT%. A^C

W + T 64 T ^ 3 KHU | HlB^cK Hld % iJdl u l 3 TT %, ^T A < T ^T C cR

fvJT^f 1 30% d4T^3TtRT^%^B^23TT%tT.

41^4^ oi-dclc+ll WfT^TW iM 4Rdl%%.

5 MR #^4 %ORT 4 RRTT .

1)3 + 5, 2)4 + 7, 3)6 + 8

4 I ^ W 41 ^ 4 M ^ 3 kA 47 te 4 ^^ M 5 k
c cR f ^ T . A ^tef Plc |^ e ) e1l ^ ^T C ^flef Peeled
^ 4 R 0 RT % t % WT ,%^ B ^ R^I R^d M .% 3 M % I ^ tR .

dldil+liu) 2)4 + 7, 3) 6 + 8 "it 'dl-s<jd dl^fdei) 3ii^d.

0123456789 10 11

28

WsUI^MI * 11 * 14411 ^ cMMIcft

dKHlA) 31IHedlell 0 W ^R£?T ^RRf £04 MI 3KR||^1 ORRf
- 3 te u l ^ laRRII^I tillcfl d 1 jX | d .

-8 -7 -6 - 5-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 A

<5 ■ I II! - H 1 - I I I I &— I—* -+-■ i -: S- ■:— I !— 1 >

- 16 - 14 - 12 - 10-8 -6 -4 -2 0 2 4 6 8 10 12 14 16 B

< — , — .I , , — , — , — , — t i iiit — i — i ■ ■ i — i — i — i — >

-8 -7 -6 - 5-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 C

+ . 1 — : I h l I l l . I— I 1 ■ l l - l — l - l 1 ! ■ >

3MW^W1) 6 - 6; 2) 7 - 3; 3) 5 - 8; 4) -6 - 2; 5) -7 -7 W31^f

teOT .

0 6 A

7-3 = 4

29

0

5

NHMd 5^raf^3TT^T. ^^NfTcRSfTWTTen £c.i|| ?qT£Hcr

iPI^n^OTW. Wi® ^^IT^fl A ^ C ^tef 2
Ri4cK d|^|dl u ^t|x:edKH^^TBcRv3x1^^^el.

30

^TM WW WTT^R 3Tm ^TM 1%3T

cMM^t^^cTT.

1.7 + 2 = 3.7

31

3TTc^3

3TFF1

#ddRdT ^Nlel^ld dTFRTRT 1 1 ^oJ|-d4) dqddtcdT dM

CN

dl'islRledl 3TT^cT. dlcilel qc4d> M ^ WTT^T 3TT%.

dl^Mcl.

32

^TIcfcM TRsHT^TT

rtM(cr irr dd£t ^¥r ^c¥r. cqr ddtor *n<Tc?fai ^forrarej^

^UdMd HMlHl ttdedKH J id<M ftai4.

^fTcPToSt TjtcIT dddcTHT RPR}- dM ^T£fc?I d^ct. dcR eft ftdRt ci?R

fid ^TTct. dldeftf) cftftt cTdld fRdTdT dd ddft fleft. (dp STdftd

fftWRR 3Rlef cR dlRR^ iRPR W^TT qTdRftt ddel. 3R?T fft«left WT
d^EITd TR^MT fecjquft q^cfvf dRRT ^fcf. d ddRfdRR dRfd

^ra 4%. psfftR ^cR fe'^rofl cpicSHI drracft dRPR did'ifft d^frd q^cf

dift.)

W fft^pR (dldfe eTBH eitMt RTT^Tc^t ft RTT ffddRW
^dTcRTRR Wt. R«#PR ^TcRT dftdFTefT dRjdd d£Hld RdH dTTdcftt
H^cxbfcl d Id.) ft 'Hlcleil^ eft#rdTdRfFT%. £o6£o6 dT Rjfr cllciRdMI ftd dTd

' CN CN CN CN

efFTcft.

• • •

33

NOTES